This paper examines studies of world-systems from Immaunel Wallerstein to Fernand Braudel, Kirti Narayan Chaudhuri, and Giovanni Arrighi. The most well-known version of the world-system approach has been developed by Immanuel Wallerstein. Wallerstein traces the rise of the world system to 15th century, when European feudal economy suffered a crisis and was transformed into a capitalist one. Europe utilized its advantages and gained control over most of the world-economy, presiding over the development and spread of industrialization and capitalism economy, indirectly resulting in unequal development. Immaunel Wallerstein`s world-system analysis has attracted various criticisms; notably A. G. Frank in his Reorient. This economic historian say that Asia has been the center of the World Economy since the bronze age until around the end of 18th century, Europe, on the other hand, had been a poor and isolated province during this long period. A. G. Frank regards Immaunel Wallerstein as a Eurocentrist because his world-system`s analysis has ignored the historic fact: the Asian hegemony during the pre-modern age. But A. G. Frank`s criticism is too focused on economy and not enough on the other historical conditions. The purpose of this writing is to investigate other possibilities of world-systems, and to seek a base of non-eurocentric global history.